TUSCALOOSA, Alabama -- Dee Milliner's recent shoulder surgery put an end to his physical workouts before the NFL Draft, but the former Alabama defensive back has been busy meeting with the teams that just might make him a millionaire.

Milliner will soon meet with the Kansas City Chiefs in Kansas City, according to a report from NFL Network's Ian Rapoport. The Chiefs, who hold the draft's No. 1 pick, will also bring former West Virginia quarterback Geno Smith in for a workout, according to the report.

Milliner will also meet with the Cleveland Browns, according to a report from Cleveland.com. The Browns hold the sixth pick and are in the market for someone like Milliner, who is widely considered to be the best available cornerback.

The Browns are also working out former LSU cornerback Tyrann Mathieu and Oregon linebacker Dion Jordan.

The Chiefs have worked out six other prospects: Florida defensive tackle Shariff Floyd, Jordan, BYU defensive end Ziggy Ansah, Texas A&M offensive tackle Luke Joeckel, Oklahoma offensive tackle Lane Johnson and Central Michigan offensive tackle Eric Fisher. Though the Chiefs recently placed a franchise tag on left tackle Branden Albert, Joeckel is considered to be the front-runner to be the first pick in the draft.

Milliner, a unanimous first-team All-American, recently had surgery to repair a torn labrum in his right shoulder. He did not participate at Alabama's Pro Day earlier this month, but is expected to be ready for training camp.